Submission #286689

# Submission time Handle Problem Language Result Execution time Memory
286689 2020-08-30T18:12:06 Z dolphingarlic Scales (IOI15_scales) C++14
100 / 100
15 ms 768 KB
#include "scales.h"

#include <bits/stdc++.h>
using namespace std;

int lim[] = {1, 3, 9, 27, 81, 243, 729};

struct Ord {
    int a[7];
    Ord(vector<int>& v) {
        for (int i = 0; i < 6; i++) a[i + 1] = v[i];
    }
};

struct Query {
    int a, b, c, d;

    int ask() {
        int res;
        if (d == a) res = getLightest(a, b, c);
        else if (d == b) res = getMedian(a, b, c);
        else if (d == c) res = getHeaviest(a, b, c);
        else res = getNextLightest(a, b, c, d);
        if (res == a) return 1;
        if (res == b) return 2;
        if (res == c) return 3;
    }

    int simulate(Ord& ord) {
        int i = a, j = b, l = c, res;
        if (ord.a[i] > ord.a[j]) swap(i, j);
        if (ord.a[j] > ord.a[l]) swap(j, l);
        if (ord.a[i] > ord.a[j]) swap(i, j);
        if (a == d) res = i;
        else if (b == d) res = j;
        else if (c == d) res = l;
        else if (ord.a[d] < ord.a[i]) res = i;
        else if (ord.a[d] < ord.a[j]) res = j;
        else if (ord.a[d] < ord.a[l]) res = l;
        else res = i;
        if (res == a) return 1;
        if (res == b) return 2;
        if (res == c) return 3;
    }
};

vector<Query> all_queries;

struct State {
    int rem;
    vector<Ord*> possible;
    Query* opt;
    State* children[4];

    bool init() {
        if (possible.size() <= 1) return true;

        int cnt[4];
        for (Query& q : all_queries) {
            cnt[1] = cnt[2] = cnt[3] = 0;

            for (Ord*& o : possible) {
                int res = q.simulate(*o);
                cnt[res]++;
                if (cnt[res] > lim[rem]) break;
            }
            if (max({cnt[1], cnt[2], cnt[3]}) > lim[rem]) continue;

            for (int i = 1; i < 4; i++) {
                children[i] = new State();
                children[i]->rem = rem - 1;
            }
            for (Ord* o : possible) children[q.simulate(*o)]->possible.push_back(o);

            bool good = true;
            for (int i = 1; i < 4; i++) good &= children[i]->init();
            if (!good) {
                for (int i = 1; i < 4; i++) delete children[i];
            } else {
                opt = &q;
                return true;
            }
        }
        return false;
    }
} *root;

void init(int T) {
    for (int i = 1; i < 5; i++)
        for (int j = i + 1; j < 6; j++)
            for (int k = j + 1; k < 7; k++)
                for (int l = 1; l < 7; l++) all_queries.push_back({i, j, k, l});

    root = new State();
    root->rem = 5;

    vector<int> curr_perm = {1, 2, 3, 4, 5, 6};
    do {
        root->possible.push_back(new Ord(curr_perm));
    } while (next_permutation(curr_perm.begin(), curr_perm.end()));

    assert(root->init());
}

void orderCoins() {
    int W[] = {1, 2, 3, 4, 5};
    State *ans = root;
    while (ans->possible.size() > 1) ans = ans->children[ans->opt->ask()];
    for (int i = 1; i <= 6; i++) W[ans->possible[0]->a[i] - 1] = i;
    answer(W);
}

Compilation message

scales.cpp: In function 'void init(int)':
scales.cpp:88:15: warning: unused parameter 'T' [-Wunused-parameter]
   88 | void init(int T) {
      |           ~~~~^
scales.cpp: In member function 'int Query::simulate(Ord&)':
scales.cpp:44:5: warning: control reaches end of non-void function [-Wreturn-type]
   44 |     }
      |     ^
scales.cpp: In member function 'int Query::ask()':
scales.cpp:27:5: warning: control reaches end of non-void function [-Wreturn-type]
   27 |     }
      |     ^
# Verdict Execution time Memory Grader output
1 Correct 15 ms 640 KB Output is correct
2 Correct 14 ms 640 KB Output is correct
3 Correct 15 ms 640 KB Output is correct
4 Correct 14 ms 640 KB Output is correct
5 Correct 15 ms 640 KB Output is correct
6 Correct 14 ms 640 KB Output is correct
7 Correct 15 ms 640 KB Output is correct
8 Correct 14 ms 640 KB Output is correct
9 Correct 15 ms 640 KB Output is correct
10 Correct 14 ms 640 KB Output is correct
11 Correct 14 ms 632 KB Output is correct
12 Correct 15 ms 624 KB Output is correct
13 Correct 14 ms 640 KB Output is correct
14 Correct 15 ms 640 KB Output is correct
15 Correct 14 ms 640 KB Output is correct
16 Correct 15 ms 640 KB Output is correct
17 Correct 15 ms 640 KB Output is correct
18 Correct 15 ms 640 KB Output is correct
19 Correct 15 ms 640 KB Output is correct
20 Correct 15 ms 632 KB Output is correct
21 Correct 15 ms 640 KB Output is correct
22 Correct 14 ms 640 KB Output is correct
23 Correct 15 ms 640 KB Output is correct
24 Correct 15 ms 768 KB Output is correct
25 Correct 15 ms 640 KB Output is correct
26 Correct 15 ms 640 KB Output is correct
27 Correct 14 ms 640 KB Output is correct
28 Correct 14 ms 640 KB Output is correct
29 Correct 14 ms 640 KB Output is correct
30 Correct 15 ms 768 KB Output is correct
31 Correct 15 ms 768 KB Output is correct
32 Correct 14 ms 640 KB Output is correct
33 Correct 14 ms 640 KB Output is correct
34 Correct 14 ms 640 KB Output is correct
35 Correct 14 ms 640 KB Output is correct
36 Correct 15 ms 640 KB Output is correct
37 Correct 14 ms 640 KB Output is correct
38 Correct 14 ms 632 KB Output is correct
39 Correct 14 ms 640 KB Output is correct
40 Correct 14 ms 640 KB Output is correct